Yuying Li Senior Research Associate yuying@cs.cornell.edu http://cs.cornell.edu/home/yuying/yuying.html PhD Waterloo, 1988 My general research interests are in numerical optimization and scientific computation. In addition, I am interested in the application of optimization methods to medical, engineering, and economic problems. My current interests include generalizing the trust region theory for unconstrained minimization to nonlinearly constrained minimization using an affine scaling and trust region minimization approach. My research focus is on both theoretical analysis and computational performance. On the application front, my current research is directed at developing efficient and reliable methods for medical imaging and optimal structural design problems.

Lectures

• Interior point methods for nonlinear programming. Invited lecture. Nonlinear Programming cluster at DALLAS INFORMS. Oct. 26-29, 1997.

• A trust region and affine scaling interior point method for nonlinear minimization with linear inequality constraints. Mathematical Programming, Switzerland, Aug. 1997.

• Exploiting structure of large QPs arising in statistical learning theory. Applications of Large-Scale Optimization, 1998 SIAM Annual Meeting, Toronto, CA, July 13-24, 1998.

Publications

Combining trust region and affine scaling for linearly constrained nonconvex minimization. Advances in Nonlinear Programming (Y. Yuan, ed.) Kluwer Academic Publishers, (1998), 219-250 (with T. Coleman).